11331130200012 has 288 divisors, whose sum is σ = 34297325217792. Its totient is φ = 3087505963008.

The previous prime is 11331130199951. The next prime is 11331130200017. The reversal of 11331130200012 is 21000203113311.

11331130200012 is a `hidden beast` number, since 1 + 1 + 331 + 130 + 200 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11331130200017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71683848 + ... + 71841744.

It is an arithmetic number, because the mean of its divisors is an integer number (119087934784).

Almost surely, 2^{11331130200012} is an apocalyptic number.

11331130200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331130200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17148662608896).

11331130200012 is an abundant number, since it is smaller than the sum of its proper divisors (22966195017780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331130200012 is a wasteful number, since it uses less digits than its factorization.

11331130200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158117 (or 158112 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331130200012 its reverse (21000203113311), we get a palindrome (32331333313323).

The spelling of 11331130200012 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thousand, twelve".